Analysis and Simulations of Dynamic Models of Hepatitis B Virus

Xisong Dong, Cong Wang, Gang Xiong

Abstract

A mathematical model consisting of two systems of Hepatitis B virus (HBV) infection is set up based on the model ofvirus dynamics and experimental observation of anti-viral drug therapy for HBV infection patients provided by Nowak. Amathematical analysis of dynamic behaviors shows that the model has two kinds of equilibrium points, which represent thepatients’ complete recovery and HBV persistent infection at the end of the treatment with drug lamivudine, respectively.Our model may provide possible quantitative interpretations for the long-time treatments of chronic HBV infections withthe drug lamivudine according to different model parameters, in particularly it may explain why the plasma virus ofNowak et al’s patients turnover the original level after stopping the lamivudine treatment.

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